Consistency of the Adiabatic Theorem

M. S. Sarandy; L. -A. Wu; D. A. Lidar

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Consistency of the Adiabatic Theorem

M. S. Sarandy·L. -A. Wu·D. A. Lidar

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Abstract

We review the quantum adiabatic approximation for closed systems, and its recently introduced generalization to open systems (M.S. Sarandy and D.A. Lidar, e-print quant-ph/0404147). We also critically examine a recent argument claiming that there is an inconsistency in the adiabatic theorem for closed quantum systems [K.P. Marzlin and B.C. Sanders, Phys. Rev. Lett. 93, 160408 (2004)] and point out how an incorrect manipulation of the adiabatic theorem may lead one to obtain such an inconsistent result.

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M. S. Sarandy, L. -A. Wu, D. A. Lidar. 2005-02-02. Consistency of the Adiabatic Theorem. https://arxiv.org/abs/quant-ph/0405059

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